Pith Number

pith:GYU7YC5E

pith:2010:GYU7YC5EFNPEF4QYXC2JFGIOXL

not attested not anchored not stored refs pending

Spectral characterization of a specific class of trees

Xiaoxia Fan, Yanfeng Luo

arxiv:1011.0796 v1 · 2010-11-03 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYU7YC5EFNPEF4QYXC2JFGIOXL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:37:12.342040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3629fc0ba42b5e42f218b8b492990ebad850905d5364ed7a99df83482201d35a

Aliases

arxiv: 1011.0796 · arxiv_version: 1011.0796v1 · doi: 10.48550/arxiv.1011.0796 · pith_short_12: GYU7YC5EFNPE · pith_short_16: GYU7YC5EFNPEF4QY · pith_short_8: GYU7YC5E

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GYU7YC5EFNPEF4QYXC2JFGIOXL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3629fc0ba42b5e42f218b8b492990ebad850905d5364ed7a99df83482201d35a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f724e002c14821a9f7bbd8252b66f14b29930a4e9264aac8ccbd0ccfbb4184bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-03T03:33:46Z",
    "title_canon_sha256": "d4c7cef54ff66fdf43a3e1b213bc8e4300b14f6b4d699d4a5035a61176f539f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0796",
    "kind": "arxiv",
    "version": 1
  }
}